A thermodynamic framework for fatigue crack growth in concrete
Source abstract
Abstract
The phenomenon of fatigue is commonly observed in majority of concrete structures and it is important to mathematically model it in order to predict their remaining life. An energy approach is adopted in this research by using the framework of thermodynamics wherein the dissipative phenomenon is described by a dissipation potential. An analytical expression is derived for the dissipation potential using the concepts of dimensional analysis and self-similarity to describe a fatigue crack propagation model for concrete. This is validated using available experimental results. Through a sensitivity analysis, the hierarchy of importance of different parameters is highlighted.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Response to Dynamic Loads · Probabilistic and Robust Engineering Design
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (19)
Show source-provided references
1. Haslach · 2011
2. Lemaitre · 1990
3. Thermodynamics and phenomenology
4. A continuum damage mechanics model for ductile fracture10.1115/1.3225775 ↗
5. Plastic damage and ductile fracture in mild steels10.1016/0013-7944(90)90084-T ↗
6. An isotropic damage model for ductile material10.1016/0013-7944(94)00214-3 ↗
7. Unified CDM model and local criterion for ductile fracture I10.1016/0013-7944(92)90289-Q ↗
8. A nonlinear CDM model for ductile failure10.1016/S0013-7944(97)00074-X ↗
9. Thermodynamics in solid mechanics: a commentary10.1098/rsta.2005.1669 ↗
10. Making sense of the Legendre transform10.1119/1.3119512 ↗
11. Barenblatt · 1996
12. Shah · 1995
13. Fatigue crack propagation model and size effect in concrete using dimensional analysis10.1016/j.mechmat.2010.12.002 ↗
14. Self-similarity and fractals in the Paris range of fatigue crack growth10.1016/j.mechmat.2004.04.003 ↗
15. Size effect in fatigue fracture of concrete
16. Crack propagation in concrete subjetced flexural cyclic loading10.1007/BF02480468 ↗
17. Shah SG. Fracture and fatigue behavior of concrete–concrete interfaces using acoustic emission, digital image correlation and micro-indentation techniques, PhD thesis. Department of Civil Engineering, Indian Institute of Science, Bangalore, India; 2009.
18. One, no one and one hundred thousand crack propagation laws: a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth10.1016/j.jmps.2008.09.002 ↗
19. Analysis of reinforced concrete columns retrofitted with fiber reinforced polymer lamina10.1016/j.compositesb.2006.01.006 ↗